The Pre-Image: Definition And Uses In Geometry And Mathematics

Pre-image

the original figure

A pre-image is the original or initial image that is used as a basis for a transformation, such as rotation, reflection, dilation or translation. In geometry, the pre-image is the original shape or object that is transformed by applying a sequence of transformations.

For example, if a square is translated to the right by 4 units and then reflected over the x-axis, the pre-image would be the original square before any transformation takes place. The image would be the resulting square after the transformation.

The pre-image is also used in mathematics to refer to the domain of a function. The domain is the set of all possible values of the independent variable for which the function is defined.

In summary, the pre-image is the initial or original image that is manipulated or transformed by a mathematical or geometric process to get a new image (the image).

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